What is the 3712th prime number?
The 3712th prime number is 34757. The next prime is 34759 (a gap of 2) and the one before is 34747.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3712th one is 34757.
- 2
34757 is prime because no prime up to ā34757 ā 186.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3712th prime is close to 3712 Ć ln(3712) ā 30510, and here it is 34757.
- 4
34757 is a twin prime: 34757 and 34759 are both prime.
Primes around the 3712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3709 | 34729 | 8 |
| 3710 | 34739 | 10 |
| 3711 | 34747 | 8 |
| 3712 | 34757 | 10 |
| 3713 | 34759 | 2 |
| 3714 | 34763 | 4 |
| 3715 | 34781 | 18 |
Questions
What is the 3712th prime number?
34757.
Which prime number is 34757?
34757 is the 3712th prime number.
What is the sum of the first 3712 primes?
60,807,651.